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arXiv · 2608.12800

A Minkowski-core black hole with cosmological constant and electric charge

Wen-Zheng Chen·Shulan Li·Jian-Pin Wu·Cong Zhang
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Abstract

Within a covariant effective Hamiltonian framework, we employ an inverse construction to derive the gravitational Hamiltonian constraint for a Minkowski-core regular black hole without invoking exotic matter. We then extend the constraint by coupling it to a spherically reduced Maxwell field and including a cosmological constant. The resulting charged anti-de Sitter (AdS) and de Sitter (dS) solution is gauge independent and reduces to the Reissner--Nordstr\"om--AdS (RN-AdS) black hole when the regularization parameter vanishes. Electric charge and a cosmological constant preserve the Minkowski core: the metric approaches the Minkowski geometry at the center, the Kretschmann scalar vanishes there, and the spacetime exhibits a multi-horizon structure. Focusing on AdS backgrounds, we investigate the black hole thermodynamics. For a regularization parameter below a critical value, the model exhibits a phase transition with consistent signatures across these thermodynamic quantities, demonstrating that Minkowski-core regularization can preserve center regularity while modifying the AdS thermodynamic phase structure relative to the RN-AdS benchmark.

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Wen-Zheng Chen, Shulan Li, Jian-Pin Wu, Cong Zhang. 2026-08-13. A Minkowski-core black hole with cosmological constant and electric charge. https://arxiv.org/abs/2608.12800

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